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Finding the Fourth Proportional to 12,360, 17,056.86 and 6,771

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Solution

The fourth proportional to 12,360, 17,056.86 and 6,771 is: 9,344.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,360 : 17,056.86 = 6,771 : x
  2. Step 2: Convert to fraction form
    12,360/17,056.86 = 6,771/x
  3. Step 3: Cross multiply
    12,360x = 17,056.86 × 6,771
  4. Step 4: Simplify right side
    12,360x = 115,491,999.06
  5. Step 5: Solve for x
    x = 115,491,999.06/12,360
  6. Step 6: Final answer
    x = 9,344.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.